Fine properties of Charge Transfer Models

Abstract

We prove L^1 to L^infinity estimates for charge transfer Hamiltonians H(t) in R^n for n > or = 3, followed by a discussion of estimates from W^{k,p'} to W^{k,p} for the same model, where 2 < p < infinity and 1/p + 1/p'=1. Then, geometric methods are developed to establish the time boundedness of the H^k norm for the evolution of charge transfer operators and asymptotic completeness of the Hamiltonian H(t) in the H^k norm, where k is any positive integer.

44 pages, no figure

References in corpus (2)

• Asymptotic stability of N-soliton states of NLS
• Dispersive analysis of the charge transfer models

Cited by in corpus (6)

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